anonymous
  • anonymous
can you explain, why does sin(x) with constantly increasing x go up and down? In the unit circle, I can get no more than a maximum of x=1 at which point sin=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
sin is a ratio of the sides of a right triangle of hypotenuse 1
amistre64
  • amistre64
if you consider it as the unit circle; the value attributed to the x in sin(x) as an angle; and the angles keep going round and round and round again
amistre64
  • amistre64
it what we call "periodic"

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More answers

anonymous
  • anonymous
yes, the angle keeps increasing all the time. so, is it actually like sin(alpha) ? in the unit circle both x and y periodic; however the function sine takes numbers > 1 as well
amistre64
  • amistre64
the sin function does necessarily take "numbers". They take angles defined in numerical terms - degrees or radians.
amistre64
  • amistre64
the angle: 57934 has a sine value of sin(57934)
anonymous
  • anonymous
OH! so, the input x is just coincidentally the same as the x in the unit circle?
anonymous
  • anonymous
the same variable name
amistre64
  • amistre64
yes; if we relate sin to the unit circle; we are measureing angles if we relate sin to the curve on an xy plane, we are saying x = some angle
amistre64
  • amistre64
think of the x axis as the "angle" axis; and the y axis as the "ratio of sides" axis
amistre64
  • amistre64
if we draw the unit circle centered at the origin of the xy plane, then we can relate sin(angle) with a y value; and cos(angle) with an x value
anonymous
  • anonymous
yes
anonymous
  • anonymous
the angle axis is 90-x in the unit circle right? because, if the y value sin(0) we have max x
anonymous
  • anonymous
the angle is smallest for the triangle when x is largest right?
amistre64
  • amistre64
dont confuse the sin curve with the cos curve
amistre64
  • amistre64
|dw:1378311583702:dw|
amistre64
  • amistre64
|dw:1378311632904:dw|
anonymous
  • anonymous
x = cos(input_x) y = sin(input_x)
anonymous
  • anonymous
and input_x ~~ angle
amistre64
  • amistre64
|dw:1378311700376:dw|
anonymous
  • anonymous
yes yes :)
amistre64
  • amistre64
it is only by transposing the unit cirlce upon the xy plane that we can relate y=sin(\(\alpha\)) and x=cos(\(\alpha\))

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